Which of the following equations have no solutions?
Choose all answers that apply:
A
152 - 45 = 750 + 75
B.
15% - 45 = 15x + 75
c
45x – 45 = -15% + 75
D
-450 – 45 = -75x + 75
Answers
Answer: B
Step-by-step explanation:
Equation A:
15x - 45 = 75x + 75
=> -120 = 60x
=> x = -2
Equation B:
15x - 45 = 15x + 75
=> 0 = 15
No Solutions
Equation C:
45x - 45 = -15x + 75
=> 60x = 120
=> x = 2
Equation D:
-45x - 45 = -75x + 75
=> 30x = 120
=> x = 4
Related Questions
OMG HELP MEEEEEEEeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
78
Step-by-step explanation:
*6 on both sides
13*6=d/6*6
Please help will give Brain
Answers
Given the functions f(x) = x ^ 3, g(x) = 9 and h(x) = 2x , what is an expression equivalant to f(2x) + 3g(x)/h(x) + 3?
Answers
Answer:
an expression equivalent to f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
Step-by-step explanation:
As given ,
f(x) = x³ , g(x) = 9 , h(x) = 2x
Now,
f(2x) = (2x)³ = 2³.x³ = 8x³
⇒f(2x) = 8x³
Now,
[tex]\frac{g(x)}{h(x)} = \frac{9}{2x} = \frac{9}{2}x[/tex]
⇒[tex]3\frac{g(x)}{h(x)} = 3.\frac{9}{2}x = \frac{27}{2}x[/tex]
∴ we get
f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answers
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
Which value of x makes the value of the expression x - 11.5 a negative number?
Answers
Answer:
11
Step-by-step explanation:
The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.
what is the image of (8,7) after a reflection over the line y=-x?
Answers
Answer:
(-7,-8)
Step-by-step explanation:
The original point is (8,7)
To reflect it, just switch their places and change their signs.
So, (-7,-8)
The sum of two numbers is 46 and their
difference is 20. What is the smaller
number?
1
A) 40
B) 13
C) 26
D) 12
Answers
20/2 is 10
The number is + or - 23
So 13 and 33
13
Answer:
B. 13
Step-by-step explanation:
We have two unknown numbers, let's have two variables for these two unknown numbers, X and Y.
"The sum of two numbers is 46 and their difference is 20."
Meaning we have two equations :
X + Y = 46
X - Y = 20
Looking at the last part of "their difference is 20." We can assume X = Y + 20
So substitute the assumed equation into X + Y = 46
(Y + 20) + Y = 46
2y + 20 = 46
Subtract 20 from both sides :
2y = 26
Divide 2 by both sides :
y = 13
There you go.
Brian has saved five dollars in dimes quarters and half dollars she finds that she has 30 coins all together and there are four times as many quarters as there are half dollars how many dimes does Brian have
Answers
9514 1404 393
Answer:
20 dimes8 quarters2 half-dollarsStep-by-step explanation:
Let d, q, h represent the numbers of dimes, quarters, and halves Brian has. We can write 3 equations in these 3 variables:
10d +25q +50h = 500 . . . . value of the coins, in cents
d + q + h = 30 . . . . . . . . . . . total number of coins
4h = q . . . . . . . . . . . . . . . . . four times as many quarters as halves
Using the last equation to substitute into the other two, we get ...
10d + 150h = 500
d +5h = 30
The second equation can be written as ...
5h = 30 -d
and the first can be written to facilitate substitution:
10d +30(5h) = 500
10d +30(30-d) = 500 . . . . . substitute for 5h
900 -20d = 500 . . . . . . . . . simplify
400 = 20d . . . . . . . . . . . . . add 20d-500 to both sides
d = 20 . . . . . . . . . . . . . . . . divide by 20
Brian has 20 dimes.
The differnce between a number divide by 3 and 4 is 20
Answers
Answer:
(n/3)/4 =20
Step-by-step explanation:
i think this is what your looking for if not im sorry
have a blessed day :)
HELP WILL GIVE BRAINLIEST Triangle QRS and triangle WXY are similar. Which statement must be true?
Answers
Answer:
C.
Step-by-step explanation:
This is correct because the triangles are similar. Angle S is similar to Angle Y, and Angle R is similar to Angle X.
None of the others can be correct either.
Hope it helps!
Determine the average rate of change from x = 0 to x = 4
Answers
Answer:
I'm super bad at math sowy!!!
Step-by-step explanation:
\(T T)/
PLEASE HELP ASAP
The table shows values for functions f(x) and GX(x) what is the solution to f(x) = g(x)
Answers
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.
Answers
A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?
Answers
Answer:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Step-by-step explanation:
The equation of the ellipse with centre at origin and major axis along the x-axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:
a² = c² + b²
Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).
Hence c = 4100
Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.
a = 2c = 2(4100) = 8200 miles
We can get the distance from the center to the minor axis vertices (b), using:
a² = c² + b²
8200² = 4100² + b²
b² = 8200² - 4100²
b² = 50430000
b=√50430000
b = 7101.4 miles
The ellipse equation is:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Answer:
[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]
Step-by-step explanation:
Find the nth term of the sequence
0, 5, 14, 27, 44......
Answers
Answer:
aₙ = 2*n*n - n -1
Step-by-step explanation:
a₁ = 0
a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5
a₃ = 2*3*3 -3-1 = 18-4 =14
a₄ = 2*4*4 - 4-1 = 32-5 =27
......
aₙ = 2*n*n - n -1
Which set of measurements could be the side lengths of a right triangle?
A. {3 in., 5 in., 7 in.}
B. {6 in., 9 in., 12 in.}
C. {8 in., 15 in., 17 in.}
D. {10 in., 20 in., 30 in.}
Answers
Answer:
D
Step-by-step explanation:
you simply add the 2 smaller sides, and if their sum equals the bigger side, its correct!
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The volume of a cylinder is 72 71 cm. If the radius is 3 cm, what is the height of the cylinder?
0
3 cm
0
0
0
O A. 4 cm OB. 8 cm O C. 12 cm O D. 24 cm
0
0
Answers
Answer: 8 cm
Step-by-step explanation: 3^2 = 9 So, 72/9 = 8
Help please, If your mom is making a garden and she wants it it be 5 yards how much cm is that
Answers
Answer:
it would be 457.2 cm or if you want it simplified then it would be 457 cm
hope this helped :)
A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?
Answers
Answer:
Isolate the variable and simplify.
Step-by-step explanation:
13h = 109.2
h = 109.2 ÷ 13
h = 8.4
Your answer would be 8.4 units.
Don't forget units! :)
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step. i need the steps plzzzz
Answers
Step-by-step explanation:
10x-40+15=-15
10x=-15-15+40
10x=10
x=1
Answer is 1
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answers
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
Which of the following word problems can be solved using the equation 10 x - 15=60
Answers
Answer:
Kit buys
Step-by-step explanation:
im right
Only hash channel catfish typically was about 0.06 g during the first six weeks of life at weight increase about 10% each day right a exponential model for the weight how much will the catfish gain weight after six weeks
Answers
Answer:
3.225 gram
Step-by-step explanation:
Given that :
Initial weight = 0.06g
Rate of increase, r = 10% = 0.1 per day
Weight gain after 6 weeks
For an exponential model. f(x)
f(x) = a(1 + r)^x
Where ; a = initial amount ; r = growth rate ; x = period
Our model becomes :
f(x) : 0.06(1 + 0.1)^x
f(x) = 0.06(1.1)^x
Number of days in 6 weeks = 6*7 = 42 = x
f(42) : 0.06(1.1)^42
= 3.285 gram
Hence, weight gain after 6 weeks :
(3.285 - 0.06) g = 3.225 gram
Silver scored 48 points in 4 basketball games. If Silver scored the same amount in each game how many points would he score in 10 games?
Answers
Answer: 120
Step-by-step explanation: He scores 12 points each game. 12 x 10 = 120 Good luck! :D
xis directly proportional to y.
When x=21, then y=3.
a) Express x in terms ofy.
b) Find the value ofx when y is equal to 10.
Answers
21 = k x 3
k = 7
x = 7y
x = 7(10)
x = 70
The first snack is 270 calories for 3 servings, and the second snack is 450 calories How many servings does the snack have to have in order to equivalent to the first snack?
Answers
Answer:
5 servings
Step-by-step explanation:
Given that:
For a particular first snack to be = 270 calories;
the servings = 3
Then, for the second snack, the calories = 450.
To estimate the servings for the second snack; we need to equate the first snack with the second snack.
Let y be the value of the unknown second snack
Then:
270 calories = 3 servings
450 calories = y servings
y servings = (450 calories × 3 servings) / 270 calories
y servings = 5 servings
Thus; the second snack needs to have 5 servings in order to be equivalent to the first snack
the 100th term of the sequence with the term -1-4n
Answers
Given:
The terms of a sequence are given by
[tex]a_n=-1-4n[/tex]
To find:
The 100th term of the sequence.
Solution:
We have,
[tex]a_n=-1-4n[/tex]
Putting n=100, we get
[tex]a_{100}=-1-4(100)[/tex]
[tex]a_{100}=-1-400[/tex]
[tex]a_{100}=-401[/tex]
Therefore, the 100th term of the given sequence is -401.
Expand and simplify (x + 4)(x-7)
Answers
Answer.
(x+4)×(x-7)
= x^2 - 7x + 4x - 28
= x^2 - 3x - 28
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(4 x 5)2 - 6 + 3 = ?
Answers
Answer:37
Step-by-step explanation:You multiply the ones that are in the parenthes
The Answer is 37, hope this helps.
If D varies directly with t and D is 105 when t is 3, find D when t is 8.
Answers
Answer:
280
Step-by-step explanation:
answer is 280
Answer:
answer is 280
Step-by-step explanation:
d=xt
105=x3
35=x
d=35*8
d=280